Other contributors have said "How many levels are there in lbp 2?" is the same question as "How many levels are there Littlebigplanet 2?" If you believe that these are not asking the same thing and should be answered differently, click here
there are nearly 3 million levels online. I haven't tried them so i Don't know if they are good but i played one and it was excellent. If you don't have online though, all you have is 50 levels.hope...
The heretic, armory, Cairo station, outskirts, metropolis, The Arbiter, Oracle, Delta halo, Regret, Sacred Icon, Quarantine zone, The Gravemind, Uprising , High charity, The great journey. 15 in all